409645152 has 144 divisors (see below), whose sum is σ = 1337630112. Its totient is φ = 116490240.

The previous prime is 409645151. The next prime is 409645163. The reversal of 409645152 is 251546904.

409645152 is a `hidden beast` number, since 4 + 0 + 9 + 645 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409645151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638752 + ... + 639392.

It is an arithmetic number, because the mean of its divisors is an integer number (9289098).

Almost surely, 2^409645152 is an apocalyptic number.

409645152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668815056).

409645152 is an abundant number, since it is smaller than the sum of its proper divisors (927984960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409645152 is a wasteful number, since it uses less digits than its factorization.

409645152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 409645152 is about 20239.6924877825. The cubic root of 409645152 is about 742.6815010497.

The spelling of 409645152 in words is "four hundred nine million, six hundred forty-five thousand, one hundred fifty-two".